Abstract

Synchronization of high-frequency chaotic optical pulses is demonstrated in two semiconductor lasers with delayed optoelectronic feedback. The difference between synchronization and modulation is discussed. Evidence is presented to show that true synchronization, rather than modulation or amplification, is accomplished in our optoelectronic feedback system.

© 2001 Optical Society of America

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References

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  1. V. Ahlers, U. Parlitz, and W. Lauterborn, Phys. Rev. E 58, 7208 (1998).
    [CrossRef]
  2. S. Sivaprakasam and K. A. Shore, Opt. Lett. 24, 466 (1999).
    [CrossRef]
  3. H. F. Chen and J. M. Liu, IEEE J. Quantum Electron. 36, 27 (2000).
    [CrossRef]
  4. J. P. Goedgebuer, L. Larger, and H. Porte, Phys. Rev. Lett. 80, 2249 (1998).
    [CrossRef]
  5. Y. Liu and P. Davis, Opt. Lett. 25, 475 (2000).
    [CrossRef]
  6. S. Tang and J. M. Liu, “Chaotic pulsing and quasiperiodic route to chaos in a semicondutor laser with delayed optoelectronic feedback,” IEEE J. Quantum Electron. (to be published).
  7. H. Fujino and J. Ohtsubo, Opt. Lett. 25, 625 (2000).
    [CrossRef]
  8. I. Fischer, Y. Liu, and P. Davis, Phys. Rev. A 62, 011801 (2000).
    [CrossRef]
  9. L. Kocarev and U. Parlitz, Phys. Rev. Lett. 74, 5028 (1995).
    [CrossRef] [PubMed]
  10. H. D. I. Abarbanel and M. B. Kennel, Phys. Rev. Lett. 80, 3153 (1998).
    [CrossRef]
  11. S. Haykin, Communication Systems (Wiley, New York, 1994).

2000

H. F. Chen and J. M. Liu, IEEE J. Quantum Electron. 36, 27 (2000).
[CrossRef]

I. Fischer, Y. Liu, and P. Davis, Phys. Rev. A 62, 011801 (2000).
[CrossRef]

Y. Liu and P. Davis, Opt. Lett. 25, 475 (2000).
[CrossRef]

H. Fujino and J. Ohtsubo, Opt. Lett. 25, 625 (2000).
[CrossRef]

1999

1998

H. D. I. Abarbanel and M. B. Kennel, Phys. Rev. Lett. 80, 3153 (1998).
[CrossRef]

J. P. Goedgebuer, L. Larger, and H. Porte, Phys. Rev. Lett. 80, 2249 (1998).
[CrossRef]

V. Ahlers, U. Parlitz, and W. Lauterborn, Phys. Rev. E 58, 7208 (1998).
[CrossRef]

1995

L. Kocarev and U. Parlitz, Phys. Rev. Lett. 74, 5028 (1995).
[CrossRef] [PubMed]

Abarbanel, H. D. I.

H. D. I. Abarbanel and M. B. Kennel, Phys. Rev. Lett. 80, 3153 (1998).
[CrossRef]

Ahlers, V.

V. Ahlers, U. Parlitz, and W. Lauterborn, Phys. Rev. E 58, 7208 (1998).
[CrossRef]

Chen, H. F.

H. F. Chen and J. M. Liu, IEEE J. Quantum Electron. 36, 27 (2000).
[CrossRef]

Davis, P.

I. Fischer, Y. Liu, and P. Davis, Phys. Rev. A 62, 011801 (2000).
[CrossRef]

Y. Liu and P. Davis, Opt. Lett. 25, 475 (2000).
[CrossRef]

Fischer, I.

I. Fischer, Y. Liu, and P. Davis, Phys. Rev. A 62, 011801 (2000).
[CrossRef]

Fujino, H.

Goedgebuer, J. P.

J. P. Goedgebuer, L. Larger, and H. Porte, Phys. Rev. Lett. 80, 2249 (1998).
[CrossRef]

Haykin, S.

S. Haykin, Communication Systems (Wiley, New York, 1994).

Kennel, M. B.

H. D. I. Abarbanel and M. B. Kennel, Phys. Rev. Lett. 80, 3153 (1998).
[CrossRef]

Kocarev, L.

L. Kocarev and U. Parlitz, Phys. Rev. Lett. 74, 5028 (1995).
[CrossRef] [PubMed]

Larger, L.

J. P. Goedgebuer, L. Larger, and H. Porte, Phys. Rev. Lett. 80, 2249 (1998).
[CrossRef]

Lauterborn, W.

V. Ahlers, U. Parlitz, and W. Lauterborn, Phys. Rev. E 58, 7208 (1998).
[CrossRef]

Liu, J. M.

H. F. Chen and J. M. Liu, IEEE J. Quantum Electron. 36, 27 (2000).
[CrossRef]

S. Tang and J. M. Liu, “Chaotic pulsing and quasiperiodic route to chaos in a semicondutor laser with delayed optoelectronic feedback,” IEEE J. Quantum Electron. (to be published).

Liu, Y.

Y. Liu and P. Davis, Opt. Lett. 25, 475 (2000).
[CrossRef]

I. Fischer, Y. Liu, and P. Davis, Phys. Rev. A 62, 011801 (2000).
[CrossRef]

Ohtsubo, J.

Parlitz, U.

V. Ahlers, U. Parlitz, and W. Lauterborn, Phys. Rev. E 58, 7208 (1998).
[CrossRef]

L. Kocarev and U. Parlitz, Phys. Rev. Lett. 74, 5028 (1995).
[CrossRef] [PubMed]

Porte, H.

J. P. Goedgebuer, L. Larger, and H. Porte, Phys. Rev. Lett. 80, 2249 (1998).
[CrossRef]

Shore, K. A.

Sivaprakasam, S.

Tang, S.

S. Tang and J. M. Liu, “Chaotic pulsing and quasiperiodic route to chaos in a semicondutor laser with delayed optoelectronic feedback,” IEEE J. Quantum Electron. (to be published).

IEEE J. Quantum Electron.

H. F. Chen and J. M. Liu, IEEE J. Quantum Electron. 36, 27 (2000).
[CrossRef]

Opt. Lett.

Phys. Rev. A

I. Fischer, Y. Liu, and P. Davis, Phys. Rev. A 62, 011801 (2000).
[CrossRef]

Phys. Rev. E

V. Ahlers, U. Parlitz, and W. Lauterborn, Phys. Rev. E 58, 7208 (1998).
[CrossRef]

Phys. Rev. Lett.

L. Kocarev and U. Parlitz, Phys. Rev. Lett. 74, 5028 (1995).
[CrossRef] [PubMed]

H. D. I. Abarbanel and M. B. Kennel, Phys. Rev. Lett. 80, 3153 (1998).
[CrossRef]

J. P. Goedgebuer, L. Larger, and H. Porte, Phys. Rev. Lett. 80, 2249 (1998).
[CrossRef]

Other

S. Haykin, Communication Systems (Wiley, New York, 1994).

S. Tang and J. M. Liu, “Chaotic pulsing and quasiperiodic route to chaos in a semicondutor laser with delayed optoelectronic feedback,” IEEE J. Quantum Electron. (to be published).

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Figures (4)

Fig. 1
Fig. 1

Schematic of the experimental setup for the synchronization of chaotic pulsing in two semiconductor lasers with delayed optoelectronic feedback. LD’s, laser diodes; PD’s, photodetectors; A’s, amplifiers.

Fig. 2
Fig. 2

Experimental results of chaotic synchronization with c=0.8. (a) Time series of transmitter and receiver. (b) Power spectra of transmitter and receiver. (c) Correlation diagram of the transmitter output versus the receiver output.

Fig. 3
Fig. 3

(a) Correlation coefficient ρ versus c factor. (b) Correlation coefficient ρ versus delay time mismatch Δτ at c=0.8.

Fig. 4
Fig. 4

Comparison among the transmitter output, the receiver output, and the driving signal under synchronization with c=1. The driving signal is measured at point  B in Fig.  1. (a) Comparison of time series. (b) Correlation diagram of the transmitter output versus the receiver output. (c) Correlation diagram of the receiver output versus the driving signal. Correlation coefficient ρ is shown in (b) and (c).

Equations (1)

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ρ=Xt-XtYt-YtXt-Xt21/2Yt-Yt21/2,

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